1513084505625 has 675 divisors, whose sum is σ = 3663014970153. Its totient is φ = 619957800000.

The previous prime is 1513084505501. The next prime is 1513084505627. The reversal of 1513084505625 is 5265054803151.

The square root of 1513084505625 is 1230075.

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

1513084505625 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 0 + 84 + 5 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118625825241 + 1394458680384 = 344421^2 + 1180872^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 1513084505625 - 2¹¹ = 1513084503577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1513084505627) 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 674 ways as a sum of consecutive naturals, for example, 21311049340 + ... + 21311049410.

Almost surely, 2^{1513084505625} is an apocalyptic number.

1513084505625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1513084505625 is the 1230075-th square number.

1513084505625 is the 615038-th centered octagonal number.

It is an amenable number.

1513084505625 is an abundant number, since it is smaller than the sum of its proper divisors (2149930464528).

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

1513084505625 is an frugal number, since it uses more digits than its factorization.

1513084505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 1513084505625 in words is "one trillion, five hundred thirteen billion, eighty-four million, five hundred five thousand, six hundred twenty-five".