52001561034 has 128 divisors (see below), whose sum is σ = 118789493760. Its totient is φ = 16857720000.

The previous prime is 52001560987. The next prime is 52001561039. The reversal of 52001561034 is 43016510025.

52001561034 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 15 + 610 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52001560989 and 52001561007.

It is not an unprimeable number, because it can be changed into a prime (52001561039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157104249 + ... + 157104579.

It is an arithmetic number, because the mean of its divisors is an integer number (928042920).

Almost surely, 2^52001561034 is an apocalyptic number.

52001561034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52001561034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59394746880).

52001561034 is an abundant number, since it is smaller than the sum of its proper divisors (66787932726).

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

52001561034 is a wasteful number, since it uses less digits than its factorization.

52001561034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 52001561034 in words is "fifty-two billion, one million, five hundred sixty-one thousand, thirty-four".