5153963100 has 576 divisors, whose sum is σ = 19150774272. Its totient is φ = 1050624000.

The previous prime is 5153963093. The next prime is 5153963107. The reversal of 5153963100 is 13693515.

It is an interprime number because it is at equal distance from previous prime (5153963093) and next prime (5153963107).

It is a super-2 number, since 2×5153963100² = 53126671272323220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153963107) 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 191 ways as a sum of consecutive naturals, for example, 26984005 + ... + 26984195.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^5153963100 is an apocalyptic number.

5153963100 is a gapful number since it is divisible by the number (50) 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 5153963100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575387136).

5153963100 is an abundant number, since it is smaller than the sum of its proper divisors (13996811172).

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

5153963100 is a wasteful number, since it uses less digits than its factorization.

5153963100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 5153963100 is about 71791.1073880324. The cubic root of 5153963100 is about 1727.3503604912.

The spelling of 5153963100 in words is "five billion, one hundred fifty-three million, nine hundred sixty-three thousand, one hundred".