1237213514601 has 45 divisors (see below), whose sum is σ = 1874955019509. Its totient is φ = 813029742144.

The previous prime is 1237213514567. The next prime is 1237213514683. The reversal of 1237213514601 is 1064153127321.

The square root of 1237213514601 is 1112301.

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

1237213514601 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 2 + 1 + 35 + 14 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3381306201 + 1233832208400 = 58149^2 + 1110780^2 .

It is not a de Polignac number, because 1237213514601 - 2⁷ = 1237213514473 is a prime.

It is a super-2 number, since 2×1237213514601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1237213510601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 730780911 + ... + 730782603.

Almost surely, 2^{1237213514601} is an apocalyptic number.

1237213514601 is the 1112301-st square number.

1237213514601 is the 556151-st centered octagonal number.

It is an amenable number.

1237213514601 is a deficient number, since it is larger than the sum of its proper divisors (637741504908).

1237213514601 is an frugal number, since it uses more digits than its factorization.

1237213514601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 1237213514601 by its sum of digits (36), we get a square (44539686525636 = 6673806²).

The spelling of 1237213514601 in words is "one trillion, two hundred thirty-seven billion, two hundred thirteen million, five hundred fourteen thousand, six hundred one".