61437553956 has 81 divisors (see below), whose sum is σ = 157152978801. Its totient is φ = 20237763168.

The previous prime is 61437553883. The next prime is 61437553979. The reversal of 61437553956 is 65935573416.

The square root of 61437553956 is 247866.

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

61437553956 is a `hidden beast` number, since 6 + 1 + 4 + 37 + 553 + 9 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42821680356 + 18615873600 = 206934^2 + 136440^2 .

It is a super-2 number, since 2×61437553956² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 162104175 + ... + 162104553.

Almost surely, 2^61437553956 is an apocalyptic number.

61437553956 is the 247866-th square number.

It is an amenable number.

61437553956 is an abundant number, since it is smaller than the sum of its proper divisors (95715424845).

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

61437553956 is a wasteful number, since it uses less digits than its factorization.

61437553956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The spelling of 61437553956 in words is "sixty-one billion, four hundred thirty-seven million, five hundred fifty-three thousand, nine hundred fifty-six".