2500213434201 has 80 divisors (see below), whose sum is σ = 4338444042240. Its totient is φ = 1405396643040.

The previous prime is 2500213434149. The next prime is 2500213434223. The reversal of 2500213434201 is 1024343120052.

2500213434201 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 21 + 3 + 434 + 201 = 666.

It is not a de Polignac number, because 2500213434201 - 2⁹ = 2500213433689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2500213432201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12035920 + ... + 12241886.

It is an arithmetic number, because the mean of its divisors is an integer number (54230550528).

Almost surely, 2^{2500213434201} is an apocalyptic number.

2500213434201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2500213434201 is a deficient number, since it is larger than the sum of its proper divisors (1838230608039).

2500213434201 is a wasteful number, since it uses less digits than its factorization.

2500213434201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206336 (or 206327 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2500213434201 its reverse (1024343120052), we get a palindrome (3524556554253).

The spelling of 2500213434201 in words is "two trillion, five hundred billion, two hundred thirteen million, four hundred thirty-four thousand, two hundred one".