53038550601 has 15 divisors (see below), whose sum is σ = 79233523831. Its totient is φ = 35357651928.

The previous prime is 53038550567. The next prime is 53038550611. The reversal of 53038550601 is 10605583035.

The square root of 53038550601 is 230301.

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., 47983340601 + 5055210000 = 219051^2 + 71100^2 .

It is not a de Polignac number, because 53038550601 - 2¹¹ = 53038548553 is a prime.

It is a super-2 number, since 2×53038550601² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53038550611) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2059915 + ... + 2085503.

Almost surely, 2^53038550601 is an apocalyptic number.

53038550601 is the 230301-st square number.

53038550601 is the 115151-st centered octagonal number.

It is an amenable number.

53038550601 is a deficient number, since it is larger than the sum of its proper divisors (26194973230).

53038550601 is an frugal number, since it uses more digits than its factorization.

53038550601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51190 (or 25592 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 53038550601 by its sum of digits (36), we get a square (1909387821636 = 1381806²).

The spelling of 53038550601 in words is "fifty-three billion, thirty-eight million, five hundred fifty thousand, six hundred one".