61277652527256 has 48 divisors (see below), whose sum is σ = 181047609741960. Its totient is φ = 18568985614080.

The previous prime is 61277652527249. The next prime is 61277652527303. The reversal of 61277652527256 is 65272525677216.

61277652527256 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 7 + 6 + 52 + 527 + 2 + 56 = 666.

61277652527256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61277652527256² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61277652527193 and 61277652527202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38685385905 + ... + 38685387488.

Almost surely, 2^{61277652527256} is an apocalyptic number.

61277652527256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61277652527256 is an abundant number, since it is smaller than the sum of its proper divisors (119769957214704).

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

61277652527256 is a wasteful number, since it uses less digits than its factorization.

61277652527256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77370773416 (or 77370773409 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 61277652527256 in words is "sixty-one trillion, two hundred seventy-seven billion, six hundred fifty-two million, five hundred twenty-seven thousand, two hundred fifty-six".