1257515532100 has 27 divisors (see below), whose sum is σ = 2728833039037. Its totient is φ = 503001727280.

The previous prime is 1257515532071. The next prime is 1257515532107. The reversal of 1257515532100 is 12355157521.

The square root of 1257515532100 is 1121390.

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., 452705591556 + 804809940544 = 672834^2 + 897112^2 .

It is a super-2 number, since 2×1257515532100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1257515532100.

It is not an unprimeable number, because it can be changed into a prime (1257515532107) 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, 11157831 + ... + 11269969.

Almost surely, 2^{1257515532100} is an apocalyptic number.

1257515532100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1257515532100 is the 1121390-th square number.

It is an amenable number.

1257515532100 is an abundant number, since it is smaller than the sum of its proper divisors (1471317506937).

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

1257515532100 is an frugal number, since it uses more digits than its factorization.

1257515532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224292 (or 112146 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 37.

The spelling of 1257515532100 in words is "one trillion, two hundred fifty-seven billion, five hundred fifteen million, five hundred thirty-two thousand, one hundred".