1560128400601 has 9 divisors (see below), whose sum is σ = 1590187664191. Its totient is φ = 1530627065032.

The previous prime is 1560128400587. The next prime is 1560128400617. The reversal of 1560128400601 is 1060048210651.

The square root of 1560128400601 is 1249051.

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., 1124692065225 + 435436335376 = 1060515^2 + 659876^2 .

It is not a de Polignac number, because 1560128400601 - 2¹¹ = 1560128398553 is a prime.

It is a super-2 number, since 2×1560128400601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1560128400641) 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, 66187920 + ... + 66211486.

Almost surely, 2^{1560128400601} is an apocalyptic number.

1560128400601 is the 1249051-st square number.

1560128400601 is the 624526-th centered octagonal number.

It is an amenable number.

1560128400601 is a deficient number, since it is larger than the sum of its proper divisors (30059263590).

1560128400601 is an frugal number, since it uses more digits than its factorization.

1560128400601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47240 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 1560128400601 in words is "one trillion, five hundred sixty billion, one hundred twenty-eight million, four hundred thousand, six hundred one".