49720526361 has 81 divisors (see below), whose sum is σ = 82109402557. Its totient is φ = 28969691520.

The previous prime is 49720526347. The next prime is 49720526363. The reversal of 49720526361 is 16362502794.

The square root of 49720526361 is 222981.

It is a perfect power (a square), and thus also a powerful number.

49720526361 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 0 + 5 + 2 + 636 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4162185225 + 45558341136 = 64515^2 + 213444^2 .

It is not a de Polignac number, because 49720526361 - 2¹¹ = 49720524313 is a prime.

It is a super-2 number, since 2×49720526361² (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 (49720526363) 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, 213392701 + ... + 213392933.

Almost surely, 2^49720526361 is an apocalyptic number.

49720526361 is the 222981-st square number.

49720526361 is the 111491-st centered octagonal number.

It is an amenable number.

49720526361 is a deficient number, since it is larger than the sum of its proper divisors (32388876196).

49720526361 is a wasteful number, since it uses less digits than its factorization.

49720526361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 49720 and 526361, that added together give a square (576081 = 759²).

The spelling of 49720526361 in words is "forty-nine billion, seven hundred twenty million, five hundred twenty-six thousand, three hundred sixty-one".