37930509500625 has 135 divisors (see below), whose sum is σ = 79648267609053. Its totient is φ = 17338183380000.

The previous prime is 37930509500617. The next prime is 37930509500629. The reversal of 37930509500625 is 52600590503973.

The square root of 37930509500625 is 6158775.

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

37930509500625 is a `hidden beast` number, since 3 + 7 + 9 + 3 + 0 + 5 + 0 + 9 + 5 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2973751944849 + 34956757555776 = 1724457^2 + 5912424^2 .

It is not a de Polignac number, because 37930509500625 - 2³ = 37930509500617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37930509500629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3233351010 + ... + 3233362740.

Almost surely, 2^{37930509500625} is an apocalyptic number.

37930509500625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

37930509500625 is the 6158775-th square number.

37930509500625 is the 3079388-th centered octagonal number.

It is an amenable number.

37930509500625 is an abundant number, since it is smaller than the sum of its proper divisors (41717758108428).

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

37930509500625 is an frugal number, since it uses more digits than its factorization.

37930509500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23502 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 54.

The spelling of 37930509500625 in words is "thirty-seven trillion, nine hundred thirty billion, five hundred nine million, five hundred thousand, six hundred twenty-five".