5153761340 has 288 divisors, whose sum is σ = 14328026496. Its totient is φ = 1515571200.

The previous prime is 5153761309. The next prime is 5153761357. The reversal of 5153761340 is 431673515.

It is a super-2 number, since 2×5153761340² = 53122511899357191200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5153761340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51027290 + ... + 51027390.

It is an arithmetic number, because the mean of its divisors is an integer number (49750092).

Almost surely, 2^5153761340 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 5153761340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164013248).

5153761340 is an abundant number, since it is smaller than the sum of its proper divisors (9174265156).

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

5153761340 is a wasteful number, since it uses less digits than its factorization.

5153761340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 5153761340 is about 71789.7021863164. The cubic root of 5153761340 is about 1727.3278202473.

The spelling of 5153761340 in words is "five billion, one hundred fifty-three million, seven hundred sixty-one thousand, three hundred forty".