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2542513401 = 33166756489
BaseRepresentation
bin1001011110001011…
…1010110011111001
320120012012001201000
42113202322303321
520201340412101
61100142515213
7120002002341
oct22742726371
96505161630
102542513401
111095200a4a
125ab595b09
13316995ccc
141a1959d21
15ed327486
hex978bacf9

2542513401 has 16 divisors (see below), whose sum is σ = 3769012800. Its totient is φ = 1693962144.

The previous prime is 2542513381. The next prime is 2542513411. The reversal of 2542513401 is 1043152452.

2542513401 is a `hidden beast` number, since 2 + 5 + 4 + 251 + 3 + 401 = 666.

It is not a de Polignac number, because 2542513401 - 214 = 2542497017 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2542513411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16765 + ... + 73253.

It is an arithmetic number, because the mean of its divisors is an integer number (235563300).

Almost surely, 22542513401 is an apocalyptic number.

It is an amenable number.

2542513401 is a deficient number, since it is larger than the sum of its proper divisors (1226499399).

2542513401 is a wasteful number, since it uses less digits than its factorization.

2542513401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58165 (or 58159 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2542513401 is about 50423.3418269753. The cubic root of 2542513401 is about 1364.8588816798.

Adding to 2542513401 its reverse (1043152452), we get a palindrome (3585665853).

The spelling of 2542513401 in words is "two billion, five hundred forty-two million, five hundred thirteen thousand, four hundred one".

Divisors: 1 3 9 27 1667 5001 15003 45009 56489 169467 508401 1525203 94167163 282501489 847504467 2542513401