1925256151296 has 243 divisors, whose sum is σ = 5618429058333. Its totient is φ = 634048450560.

The previous prime is 1925256151283. The next prime is 1925256151457. The reversal of 1925256151296 is 6921516525291.

The square root of 1925256151296 is 1387536.

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

1925256151296 is a `hidden beast` number, since 1 + 9 + 2 + 5 + 2 + 5 + 615 + 12 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1130904633600 + 794351517696 = 1063440^2 + 891264^2 .

It is a super-2 number, since 2×1925256151296² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9124436631 + ... + 9124436841.

Almost surely, 2^{1925256151296} is an apocalyptic number.

1925256151296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1925256151296 is the 1387536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1925256151296

1925256151296 is an abundant number, since it is smaller than the sum of its proper divisors (3693172907037).

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

1925256151296 is an frugal number, since it uses more digits than its factorization.

1925256151296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 353 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The spelling of 1925256151296 in words is "one trillion, nine hundred twenty-five billion, two hundred fifty-six million, one hundred fifty-one thousand, two hundred ninety-six".