5154510400 has 84 divisors (see below), whose sum is σ = 13659012052. Its totient is φ = 1903196160.

The previous prime is 5154510379. The next prime is 5154510407. The reversal of 5154510400 is 40154515.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1825681984 + 3328828416 = 42728^2 + 57696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5154510407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103107 + ... + 144706.

Almost surely, 2^5154510400 is an apocalyptic number.

5154510400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5154510400 is an abundant number, since it is smaller than the sum of its proper divisors (8504501652).

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

5154510400 is a wasteful number, since it uses less digits than its factorization.

5154510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247848 (or 247833 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5154510400 is about 71794.9190402775. The cubic root of 5154510400 is about 1727.4115008456.

Adding to 5154510400 its reverse (40154515), we get a palindrome (5194664915).

The spelling of 5154510400 in words is "five billion, one hundred fifty-four million, five hundred ten thousand, four hundred".