42537000025 has 81 divisors (see below), whose sum is σ = 60642764541. Its totient is φ = 29580482880.

The previous prime is 42537000001. The next prime is 42537000043. The reversal of 42537000025 is 52000073524.

The square root of 42537000025 is 206245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10963974681 + 31573025344 = 104709^2 + 177688^2 .

It is not a de Polignac number, because 42537000025 - 2⁵ = 42536999993 is a prime.

It is a super-2 number, since 2×42537000025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42536999957 and 42537000002.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 254712492 + ... + 254712658.

Almost surely, 2^42537000025 is an apocalyptic number.

42537000025 is the 206245-th square number.

42537000025 is the 103123-rd centered octagonal number.

It is an amenable number.

42537000025 is a deficient number, since it is larger than the sum of its proper divisors (18105764516).

42537000025 is a wasteful number, since it uses less digits than its factorization.

42537000025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

Adding to 42537000025 its reverse (52000073524), we get a palindrome (94537073549).

The spelling of 42537000025 in words is "forty-two billion, five hundred thirty-seven million, twenty-five", and thus it is an aban number.