2551610085376 has 117 divisors (see below), whose sum is σ = 5611112863293. Its totient is φ = 1159311605760.

The previous prime is 2551610085347. The next prime is 2551610085377. The reversal of 2551610085376 is 6735800161552.

The square root of 2551610085376 is 1597376.

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., 109016190976 + 2442593894400 = 330176^2 + 1562880^2 .

It is a super-2 number, since 2×2551610085376² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2551610085377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1124551570 + ... + 1124553838.

Almost surely, 2^{2551610085376} is an apocalyptic number.

2551610085376 is the 1597376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551610085376

2551610085376 is an abundant number, since it is smaller than the sum of its proper divisors (3059502777917).

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

2551610085376 is an frugal number, since it uses more digits than its factorization.

2551610085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

Multiplying 2551610085376 by its sum of digits (49), we get a square (125028894183424 = 11181632²).

The spelling of 2551610085376 in words is "two trillion, five hundred fifty-one billion, six hundred ten million, eighty-five thousand, three hundred seventy-six".