53149263552 has 756 divisors, whose sum is σ = 198257099040. Its totient is φ = 13561067520.

The previous prime is 53149263551. The next prime is 53149263577. The reversal of 53149263552 is 25536294135.

53149263552 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 9 + 2 + 635 + 5 + 2 = 666.

It is a super-2 number, since 2×53149263552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53149263498 and 53149263507.

It is not an unprimeable number, because it can be changed into a prime (53149263551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 269793118 + ... + 269793314.

It is an arithmetic number, because the mean of its divisors is an integer number (262244840).

Almost surely, 2^53149263552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53149263552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99128549520).

53149263552 is an abundant number, since it is smaller than the sum of its proper divisors (145107835488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53149263552 is a wasteful number, since it uses less digits than its factorization.

53149263552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 53149263552 in words is "fifty-three billion, one hundred forty-nine million, two hundred sixty-three thousand, five hundred fifty-two".