5259907950 has 384 divisors, whose sum is σ = 16291528704. Its totient is φ = 1106688000.

The previous prime is 5259907897. The next prime is 5259907951. The reversal of 5259907950 is 597099525.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 5259907893 and 5259907902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259907951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19999519 + ... + 19999781.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 2^5259907950 is an apocalyptic number.

5259907950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5259907950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145764352).

5259907950 is an abundant number, since it is smaller than the sum of its proper divisors (11031620754).

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

5259907950 is a wasteful number, since it uses less digits than its factorization.

5259907950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1275750, while the sum is 51.

The square root of 5259907950 is about 72525.2228538458. Note that the first 3 decimals coincide. The cubic root of 5259907950 is about 1739.1059781674.

The spelling of 5259907950 in words is "five billion, two hundred fifty-nine million, nine hundred seven thousand, nine hundred fifty".