37516225252401 has 675 divisors, whose sum is σ = 75043389945051. Its totient is φ = 18670325361408.

The previous prime is 37516225252393. The next prime is 37516225252417. The reversal of 37516225252401 is 10425252261573.

It is a happy number.

The square root of 37516225252401 is 6125049.

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

37516225252401 is a `hidden beast` number, since 3 + 7 + 5 + 16 + 225 + 2 + 5 + 2 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29208133847025 + 8308091405376 = 5404455^2 + 2882376^2 .

It is not a de Polignac number, because 37516225252401 - 2³ = 37516225252393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37516225252201) by changing a digit.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 872470354686 + ... + 872470354728.

Almost surely, 2^{37516225252401} is an apocalyptic number.

37516225252401 is the 6125049-th square number.

37516225252401 is the 3062525-th centered octagonal number.

It is an amenable number.

37516225252401 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

37516225252401 is an frugal number, since it uses more digits than its factorization.

37516225252401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 37516225252401 in words is "thirty-seven trillion, five hundred sixteen billion, two hundred twenty-five million, two hundred fifty-two thousand, four hundred one".