2505151341 has 128 divisors (see below), whose sum is σ = 4920422400. Its totient is φ = 1221454080.

The previous prime is 2505151321. The next prime is 2505151351. The reversal of 2505151341 is 1431515052.

2505151341 is a `hidden beast` number, since 2 + 505 + 151 + 3 + 4 + 1 = 666.

2505151341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505151341 - 2⁵ = 2505151309 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505151301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2230206 + ... + 2231328.

It is an arithmetic number, because the mean of its divisors is an integer number (38440800).

Almost surely, 2^2505151341 is an apocalyptic number.

2505151341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2505151341 is a deficient number, since it is larger than the sum of its proper divisors (2415271059).

2505151341 is a wasteful number, since it uses less digits than its factorization.

2505151341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2505151341 is about 50051.4869009903. The cubic root of 2505151341 is about 1358.1403614744.

Adding to 2505151341 its reverse (1431515052), we get a palindrome (3936666393).

The spelling of 2505151341 in words is "two billion, five hundred five million, one hundred fifty-one thousand, three hundred forty-one".