52561661031000 has 192 divisors, whose sum is σ = 193809179584800. Its totient is φ = 12742220832000.

The previous prime is 52561661030993. The next prime is 52561661031007. The reversal of 52561661031000 is 13016616525.

52561661031000 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 1 + 6 + 610 + 31 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52561661030993) and next prime (52561661031007).

It is a super-2 number, since 2×52561661031000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52561661031007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265363935 + ... + 265561934.

Almost surely, 2^{52561661031000} is an apocalyptic number.

52561661031000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52561661031000 is an abundant number, since it is smaller than the sum of its proper divisors (141247518553800).

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

52561661031000 is a wasteful number, since it uses less digits than its factorization.

52561661031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530925907 (or 530925890 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 52561661031000 its reverse (13016616525), we get a palindrome (52574677647525).

The spelling of 52561661031000 in words is "fifty-two trillion, five hundred sixty-one billion, six hundred sixty-one million, thirty-one thousand".