5307309101952 has 2560 divisors, whose sum is σ = 20859382051200. Its totient is φ = 1313939128320.

The previous prime is 5307309101951. The next prime is 5307309102059. The reversal of 5307309101952 is 2591019037035.

5307309101952 is a `hidden beast` number, since 530 + 7 + 3 + 0 + 9 + 101 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5307309101898 and 5307309101907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307309101951) 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 319 ways as a sum of consecutive naturals, for example, 38739482428 + ... + 38739482564.

Almost surely, 2^{5307309101952} is an apocalyptic number.

5307309101952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5307309101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429691025600).

5307309101952 is an abundant number, since it is smaller than the sum of its proper divisors (15552072949248).

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

5307309101952 is a wasteful number, since it uses less digits than its factorization.

5307309101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 5307309101952 in words is "five trillion, three hundred seven billion, three hundred nine million, one hundred one thousand, nine hundred fifty-two".