53661305407401 has 24 divisors (see below), whose sum is σ = 78973832003976. Its totient is φ = 35098956372480.

The previous prime is 53661305407379. The next prime is 53661305407433. The reversal of 53661305407401 is 10470450316635.

53661305407401 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 1 + 30 + 540 + 74 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7614155909376 + 46047149498025 = 2759376^2 + 6785805^2 .

It is not a de Polignac number, because 53661305407401 - 2¹⁸ = 53661305145257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53661305407441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79332241 + ... + 80005793.

It is an arithmetic number, because the mean of its divisors is an integer number (3290576333499).

Almost surely, 2^{53661305407401} is an apocalyptic number.

It is an amenable number.

53661305407401 is a deficient number, since it is larger than the sum of its proper divisors (25312526596575).

53661305407401 is a wasteful number, since it uses less digits than its factorization.

53661305407401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840633 (or 840630 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 53661305407401 in words is "fifty-three trillion, six hundred sixty-one billion, three hundred five million, four hundred seven thousand, four hundred one".