561377061001 has 9 divisors (see below), whose sum is σ = 562713148711. Its totient is φ = 560044143472.

The previous prime is 561377060903. The next prime is 561377061041. The reversal of 561377061001 is 100160773165.

The square root of 561377061001 is 749251.

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., 159644198025 + 401732862976 = 399555^2 + 633824^2 .

It is not a de Polignac number, because 561377061001 - 2³¹ = 559229577353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (561377061041) 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, 511737885 + ... + 511738981.

Almost surely, 2^561377061001 is an apocalyptic number.

561377061001 is the 749251-st square number.

561377061001 is the 374626-th centered octagonal number.

It is an amenable number.

561377061001 is a deficient number, since it is larger than the sum of its proper divisors (1336087710).

561377061001 is an frugal number, since it uses more digits than its factorization.

561377061001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 561377061001 in words is "five hundred sixty-one billion, three hundred seventy-seven million, sixty-one thousand, one".