2051513100 has 432 divisors, whose sum is σ = 8140187328. Its totient is φ = 420526080.

The previous prime is 2051513077. The next prime is 2051513117. The reversal of 2051513100 is 13151502.

2051513100 is a `hidden beast` number, since 2 + 0 + 51 + 513 + 100 = 666.

2051513100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2051513100² = 8417411998943220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3029962 + ... + 3030638.

Almost surely, 2^2051513100 is an apocalyptic number.

2051513100 is a gapful number since it is divisible by the number (20) 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 2051513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070093664).

2051513100 is an abundant number, since it is smaller than the sum of its proper divisors (6088674228).

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

2051513100 is a wasteful number, since it uses less digits than its factorization.

2051513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 2051513100 is about 45293.6320027441. The cubic root of 2051513100 is about 1270.6465594066.

Adding to 2051513100 its reverse (13151502), we get a palindrome (2064664602).

The spelling of 2051513100 in words is "two billion, fifty-one million, five hundred thirteen thousand, one hundred".