61525072939264 has 243 divisors, whose sum is σ = 138489429181593. Its totient is φ = 27258745958400.

The previous prime is 61525072939259. The next prime is 61525072939273. The reversal of 61525072939264 is 46293927052516.

The square root of 61525072939264 is 7843792.

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

It can be written as a sum of positive squares in only one way, i.e., 2964622788864 + 58560450150400 = 1721808^2 + 7652480^2 .

It is a Duffinian number.

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, 56600802529 + ... + 56600803615.

Almost surely, 2^{61525072939264} is an apocalyptic number.

61525072939264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61525072939264 is the 7843792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61525072939264

61525072939264 is an abundant number, since it is smaller than the sum of its proper divisors (76964356242329).

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

61525072939264 is an frugal number, since it uses more digits than its factorization.

61525072939264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 61.

The spelling of 61525072939264 in words is "sixty-one trillion, five hundred twenty-five billion, seventy-two million, nine hundred thirty-nine thousand, two hundred sixty-four".