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1525225000000 = 2658132192
BaseRepresentation
bin10110001100011110011…
…111101000110001000000
312101210212112220220111211
4112030132133220301000
5144442130100000000
63124402333015504
7215123332406422
oct26143637506100
95353775826454
101525225000000
11538931828229
12207722924594
13b0a9c44b300
1453b6d862812
1529a1bbb37ba
hex1631e7e8c40

1525225000000 has 567 divisors, whose sum is σ = 4323640852701. Its totient is φ = 533520000000.

The previous prime is 1525224999983. The next prime is 1525225000009. The reversal of 1525225000000 is 5225251.

The square root of 1525225000000 is 1235000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 45089974336 + 1480135025664 = 212344^2 + 1216608^2 .

It is a super-2 number, since 2×15252250000002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1525225000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80274999991 + ... + 80275000009.

Almost surely, 21525225000000 is an apocalyptic number.

1525225000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1525225000000 is the 1235000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1525225000000

1525225000000 is an abundant number, since it is smaller than the sum of its proper divisors (2798415852701).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1525225000000 is an frugal number, since it uses more digits than its factorization.

1525225000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The spelling of 1525225000000 in words is "one trillion, five hundred twenty-five billion, two hundred twenty-five million", and thus it is an aban number.