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2525313 = 37241419
BaseRepresentation
bin1001101000100010000001
311202022002010
421220202001
51121302223
6130043133
730315300
oct11504201
94668063
102525313
11147533a
12a194a9
136a558b
1449a437
1534d393
hex268881

2525313 has 24 divisors (see below), whose sum is σ = 4021920. Its totient is φ = 1404480.

The previous prime is 2525293. The next prime is 2525323. The reversal of 2525313 is 3135252.

It is not a de Polignac number, because 2525313 - 26 = 2525249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2525313.

It is not an unprimeable number, because it can be changed into a prime (2525323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5818 + ... + 6236.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

22525313 is an apocalyptic number.

It is an amenable number.

2525313 is a deficient number, since it is larger than the sum of its proper divisors (1496607).

2525313 is a wasteful number, since it uses less digits than its factorization.

2525313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 470 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 2525313 is about 1589.1233432305. The cubic root of 2525313 is about 136.1774104821.

It can be divided in two parts, 252 and 5313, that added together give a triangular number (5565 = T105).

The spelling of 2525313 in words is "two million, five hundred twenty-five thousand, three hundred thirteen".

Divisors: 1 3 7 21 41 49 123 147 287 419 861 1257 2009 2933 6027 8799 17179 20531 51537 61593 120253 360759 841771 2525313