1137872357521 has 9 divisors (see below), whose sum is σ = 1144005601851. Its totient is φ = 1131771837312.

The previous prime is 1137872357519. The next prime is 1137872357533. The reversal of 1137872357521 is 1257532787311.

The square root of 1137872357521 is 1066711.

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., 275693254225 + 862179103296 = 525065^2 + 928536^2 .

It is not a de Polignac number, because 1137872357521 - 2¹ = 1137872357519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1137872357021) 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, 205872460 + ... + 205877986.

It is an arithmetic number, because the mean of its divisors is an integer number (127111733539).

Almost surely, 2^{1137872357521} is an apocalyptic number.

1137872357521 is the 1066711-st square number.

1137872357521 is the 533356-th centered octagonal number.

It is an amenable number.

1137872357521 is a deficient number, since it is larger than the sum of its proper divisors (6133244330).

1137872357521 is an frugal number, since it uses more digits than its factorization.

1137872357521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 5720 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 52.

The spelling of 1137872357521 in words is "one trillion, one hundred thirty-seven billion, eight hundred seventy-two million, three hundred fifty-seven thousand, five hundred twenty-one".