162570940609561 has 81 divisors (see below), whose sum is σ = 186675819172479. Its totient is φ = 141467472511200.

The previous prime is 162570940609549. The next prime is 162570940609589. The reversal of 162570940609561 is 165906049075261.

It is a happy number.

The square root of 162570940609561 is 12750331.

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., 10696373021961 + 151874567587600 = 3270531^2 + 12323740^2 .

It is not a de Polignac number, because 162570940609561 - 2¹⁹ = 162570940085273 is a prime.

It is a super-2 number, since 2×162570940609561² (a number of 29 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 162570940609561.

It is not an unprimeable number, because it can be changed into a prime (162570940606561) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 604352938935 + ... + 604352939203.

Almost surely, 2^{162570940609561} is an apocalyptic number.

162570940609561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

162570940609561 is the 12750331-st square number.

162570940609561 is the 6375166-th centered octagonal number.

It is an amenable number.

162570940609561 is a deficient number, since it is larger than the sum of its proper divisors (24104878562918).

162570940609561 is an frugal number, since it uses more digits than its factorization.

162570940609561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 162570940609561 in words is "one hundred sixty-two trillion, five hundred seventy billion, nine hundred forty million, six hundred nine thousand, five hundred sixty-one".