210513040 has 40 divisors (see below), whose sum is σ = 518236920. Its totient is φ = 79251456.

The previous prime is 210513031. The next prime is 210513049. The reversal of 210513040 is 40315012.

It is an interprime number because it is at equal distance from previous prime (210513031) and next prime (210513049).

It can be written as a sum of positive squares in 4 ways, for example, as 73342096 + 137170944 = 8564^2 + 11712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (210513049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76035 + ... + 78754.

It is an arithmetic number, because the mean of its divisors is an integer number (12955923).

Almost surely, 2^210513040 is an apocalyptic number.

210513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210513040 is an abundant number, since it is smaller than the sum of its proper divisors (307723880).

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

210513040 is a wasteful number, since it uses less digits than its factorization.

210513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154819 (or 154813 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 210513040 is about 14509.0675096644. The cubic root of 210513040 is about 594.8758444430.

Adding to 210513040 its reverse (40315012), we get a palindrome (250828052).

The spelling of 210513040 in words is "two hundred ten million, five hundred thirteen thousand, forty".