157211457001 has 9 divisors (see below), whose sum is σ = 157782496599. Its totient is φ = 156642480936.

The previous prime is 157211456953. The next prime is 157211457023. The reversal of 157211457001 is 100754112751.

The square root of 157211457001 is 396499.

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., 85453905625 + 71757551376 = 292325^2 + 267876^2 .

It is a de Polignac number, because none of the positive numbers 2^k-157211457001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157211457401) 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, 147893596 + ... + 147894658.

It is an arithmetic number, because the mean of its divisors is an integer number (17531388511).

Almost surely, 2^157211457001 is an apocalyptic number.

157211457001 is the 396499-th square number.

157211457001 is the 198250-th centered octagonal number.

It is an amenable number.

157211457001 is a deficient number, since it is larger than the sum of its proper divisors (571039598).

157211457001 is an frugal number, since it uses more digits than its factorization.

157211457001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 34.

Adding to 157211457001 its reverse (100754112751), we get a palindrome (257965569752).

The spelling of 157211457001 in words is "one hundred fifty-seven billion, two hundred eleven million, four hundred fifty-seven thousand, one".