1352632500 has 240 divisors, whose sum is σ = 4539796800. Its totient is φ = 347760000.

The previous prime is 1352632469. The next prime is 1352632511. The reversal of 1352632500 is 52362531.

1352632500 is a `hidden beast` number, since 1 + 352 + 63 + 250 + 0 = 666.

It is a super-2 number, since 2×1352632500² = 3659229360112500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1957155 + ... + 1957845.

It is an arithmetic number, because the mean of its divisors is an integer number (18915820).

Almost surely, 2^1352632500 is an apocalyptic number.

1352632500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269898400).

1352632500 is an abundant number, since it is smaller than the sum of its proper divisors (3187164300).

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

1352632500 is a wasteful number, since it uses less digits than its factorization.

1352632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1352632500 is about 36778.1524821462. The cubic root of 1352632500 is about 1105.9273692886.

The spelling of 1352632500 in words is "one billion, three hundred fifty-two million, six hundred thirty-two thousand, five hundred".